## Indentation by a Rigid Flat Punch

This calculator allows calculating pressure , displacement (elastic deformation) , stiffness , average pressure and resultant force for the case of indentation of an elastic half-space by a rigid cylindrical flat indenter. In this case, the intender is rigid and of cylindrical shape. The substrate is elastic, the geometric parameters – rigid body displacement, – radius of the cylinder and material parameters are the inputs (see the figure and definitions below). The stress distribution in the contact area and the displacements of the half-space outside the contact are:

(1)

where is the maximum displacement due to the deformation, is the radius of the punch and is the radial coordinate.

The contact stiffness can be calculated as follows:

(2)

Equations were taken from [1].

## Definitions:

Poisson’s ratio dimensionless,

Young’s modulus of elasticity , [Pa],

Equivalent elastic constant , [Pa],

Normal load , [N]

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